2056100 has 36 divisors (see below), whose sum is σ = 4622100. Its totient is φ = 792960.

The previous prime is 2056081. The next prime is 2056111. The reversal of 2056100 is 16502.

It can be written as a sum of positive squares in 6 ways, for example, as 222784 + 1833316 = 472^2 + 1354^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2546 + ... + 3254.

2^2056100 is an apocalyptic number.

2056100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2056100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2311050).

2056100 is an abundant number, since it is smaller than the sum of its proper divisors (2566000).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

2056100 is a wasteful number, since it uses less digits than its factorization.

2056100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 752 (or 745 counting only the distinct ones).

The product of its (nonzero) digits is 60, while the sum is 14.

The square root of 2056100 is about 1433.9107364128. The cubic root of 2056100 is about 127.1592851245.

The spelling of 2056100 in words is "two million, fifty-six thousand, one hundred".